Finding the Third Proportional to 11,623 and 17,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,623 : 17,406.50 = 17,406.50 : x
2. Step 2: Convert to fraction form
   11,623/17,406.50 = 17,406.50/x
3. Step 3: Cross multiply
   11,623x = 17,406.50 × 17,406.50
4. Step 4: Simplify right side
   11,623x = 302,986,242.25
5. Step 5: Solve for x
   x = 302,986,242.25/11,623
6. Step 6: Final answer
   x = 26,067.82